Surface algorithms using bounds on derivatives
Computer Aided Geometric Design
Introduction to Solid Modeling
Introduction to Solid Modeling
Curves and surfaces for computer aided geometric design
Curves and surfaces for computer aided geometric design
Experiences using adjacency analysis for building topology structures
Theory and practice of geometric modeling
A topology-based approach for shell-closure
Selected and Expanded Papers from the IFIP TC5/WG5.2 Working Conference on Geometric Modeling for Product Realization
Consistent solid and boundary representations from arbitrary polygonal data
Proceedings of the 1997 symposium on Interactive 3D graphics
Converting sets of polygons to manifold surfaces by cutting and stitching
Proceedings of the conference on Visualization '98
RSVP: A Geometric Toolkit for Controlled Repair of Solid Models
IEEE Transactions on Visualization and Computer Graphics
Cutting and Stitching: Converting Sets of Polygons to Manifold Surfaces
IEEE Transactions on Visualization and Computer Graphics
Automatic mesh-healing technique for model repair and finite element model generation
Finite Elements in Analysis and Design
A CAD system for heterogeneous solid modelling
International Journal of Computer Applications in Technology
Fixing geometric errors on polygonal models: a survey
Journal of Computer Science and Technology
Repairing and meshing imperfect shapes with Delaunay refinement
2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling
ε-Topological formulation of tolerant solid modeling
Computer-Aided Design
CAD and mesh repair with Radial Basis Functions
Journal of Computational Physics
Technical note: Filling trim cracks on GPU-rendered solid models
Computer-Aided Design
Polygon mesh repairing: An application perspective
ACM Computing Surveys (CSUR)
Geometric interoperability via queries
Computer-Aided Design
A procedure for computing the symmetric difference of regions defined by polygonal curves
Journal of Symbolic Computation
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Rapid prototyping processes rigorously require that a CAD model to be manufactured must represent a closed volume and the boundary of the model be continuous and closed. This requirement is difficult to be met by surface models consisting of a collection of separate trimmed and untrimmed surfaces. In practice, however, sophisticated models are mostly constructed by surface modelers. This paper presents a robust algorithm solving this dilemma. The algorithm first converts surface models into the B-rep solid representation and then performs the triangulation satisfying the so-called vertex-to-vertex condition set by the STL file format, the de facto RP industry standard. The essence of the algorithm is a topology analyzer which generates the topological structure for a surface model. The topology analyzer finds the matching surfaces for each surface in the model and subsequently merges the matching boundaries according to the manifold criteria. The robustness of the algorithm has been demonstrated by numerous practical examples.